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• W2043673424 abstract "We consider curvature-squared corrections to Einstein-Hilbert gravity action in the form of a Gauss-Bonnet term in $D>4$ dimensions. In this theory, we study the thermodynamics of charged static black holes with anti--de Sitter (AdS) asymptotics, and whose electric field is described by nonlinear electrodynamics. These objects have received considerable attention in recent literature on gravity/gauge dualities. It is well-known that, within the framework of anti--de Sitter/conformal field theory (AdS/CFT) correspondence, there exists a nonvanishing Casimir contribution to the internal energy of the system, manifested as the vacuum energy for global AdS spacetime in odd dimensions. Because of this reason, we derive a quantum statistical relation directly from the Euclidean action and not from the integration of the first law of thermodynamics. To this end, we employ a background-independent regularization scheme which consists, in addition to the bulk action, of counterterms that depend on both extrinsic and intrinsic curvatures of the boundary (Kounterterm series). This procedure results in a consistent inclusion of the vacuum energy and chemical potential in the thermodynamic description for Einstein-Gauss-Bonnet AdS gravity regardless of the explicit form of the nonlinear electrodynamics Lagrangian." @default.
• W2043673424 created "2016-06-24" @default.
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• W2043673424 date "2011-03-14" @default.
• W2043673424 modified "2023-09-30" @default.
• W2043673424 title "Quantum statistical relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity" @default.
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• W2043673424 doi "https://doi.org/10.1103/physrevd.83.064017" @default.
• W2043673424 hasPublicationYear "2011" @default.
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